Sure, but in the spirit of these games I guess there needs to be a balance between simplicity and realism. A single roll and table lookup is simple and fun but not finely grained so not realistic if limited to 1D6 or 2D6. So maybe a re-roll, like you suggest, but then maybe that doesn't have the same easy flow.
Nowadays, dice with more sides are common so that allows a simple 2D10 roll and a percentage lookup table. Maybe that's the balance.
Do a reroll maybe?